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Finding the Fourth Proportional to 9,313.75, 12,853 and 5,122

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Solution

The fourth proportional to 9,313.75, 12,853 and 5,122 is: 7,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.75 : 12,853 = 5,122 : x
  2. Step 2: Convert to fraction form
    9,313.75/12,853 = 5,122/x
  3. Step 3: Cross multiply
    9,313.75x = 12,853 × 5,122
  4. Step 4: Simplify right side
    9,313.75x = 65,833,066
  5. Step 5: Solve for x
    x = 65,833,066/9,313.75
  6. Step 6: Final answer
    x = 7,068.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.